Tools to remove the bottom bracket

From the videos I've watched, I just need an Allen key and something like this, am I right? Or will I need anything more?
https://smile.amazon.co.uk/dp/B0716NX7KC/ref=cm_sw_r_cp_api_fabc_XGMWAGMM04HERM0Z05YY
https://smile.amazon.co.uk/dp/B0716NX7KC/ref=cm_sw_r_cp_api_fabc_XGMWAGMM04HERM0Z05YY
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Naturally since this is cycling there are a corresponding million and one possible tools.
Sorry for the long answer
You will need a 1/2 in drive swivel handle or T bar or a spanner to fit it.
If your BB has been in for a while they can be a bit tight to get out. A long swivel handle is best.
Both cost the same at B&Q, one is the proper tool for the job, the other is a rubber mallet which is not the proper tool.
Marin Nail Trail
Cotic Solaris
I'm sure that's Mrs P's mantra.
https://www.toolstation.com/minotaur-rubber-mallet/p55000
Here’s what I’ve used for years, many times, to get sealed cartridge BBS and cranks off.
You only need a dead blow hammer if your working in confined spaces where a rebound would cause damage to something surrounding what your hitting, which does not really apply to a crank, or the BB tool. I’ve even used a wooden mallet successfully >shock horror<. Just don’t use a metal hammer, that could cause damage to the cranks / tool.